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Finding the Fourth Proportional to 1,550.48, 2,326.13 and 900.66

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Solution

The fourth proportional to 1,550.48, 2,326.13 and 900.66 is: 1,351.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.48 : 2,326.13 = 900.66 : x
  2. Step 2: Convert to fraction form
    1,550.48/2,326.13 = 900.66/x
  3. Step 3: Cross multiply
    1,550.48x = 2,326.13 × 900.66
  4. Step 4: Simplify right side
    1,550.48x = 2,095,047.74
  5. Step 5: Solve for x
    x = 2,095,047.74/1,550.48
  6. Step 6: Final answer
    x = 1,351.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.